More math details now on the basic physics principles of the "metric
engineering" of exotic quantum gravity vacuum WMD mentioned in Sir
Martin Rees's "Our Final Hour" especially Chapter 9 is continuously
being updated at http://qedcorp.com/APS/warpdrivephysics.pdf
I do not
see that Hal Puthoff et-al are even asking the right
theoretical questions
in the PV and EM zpf approaches when it comes to
the UFO problem. At least I
see no evidence they are - not yet.
On Saturday, August 23, 2003, at
08:57 AM, Jack Sarfatti wrote:
> Picture of the
non-spherically symmetric non-static "dipole" exotic
> vacuum zero point
energy density /\zpf field for the case of
> Alcubierre's toy model UFO
vacuum propeller metric is at
>
>
http://qedcorp.com/APS/warpdrive1.jpg
>
> Think of the vertical axis
as the strength of the (c^4/8piG*) /\zpf(x)
> zero point energy density
warp drive local unified dark energy/matter
> scalar field distribution
of exotic vacuum "stuff".
>
> The UFO moves to the right in the
picture along a free float
> (weightless) self-generated timelike
geodesic no matter how
> "accelerated" the UFO trajectory looks to USAF
tracking radar. The
> negative /\zpf < 0 "dark matter" exotic vacuum
region (boundary layer)
> of positive quantum pressure is at the bow
where space is literally
> locally contracting causing the anomalous red
shift opposing the
> normal motional Doppler blue shift of an approaching
object for an
> observer in front of the UFO. In contrast, the positive
/\zpf > 0
> "dark energy" exotic vacuum boundary layer of negative
quantum
> pressure is at the stern where space is locally literally
expanding
> behind the UFO (just like the universe is accelerating on the
larger
> scale > 10 megaparsecs) causing the anomalous blue shift
opposing the
> normal motional Doppler red shift of a receding object.
Therefore, we
> see that the "reverse Doppler effect" is a good signature
of an
> advanced military technology based upon practical metric
engineering
> of the spacetime continuum. No wonder, Herman Bondi and
Yakov
> Terletski worked on this problem 50 years ago. They did not get
very
> far of course because we had to wait several decades for the
discovery
> first of dark matter and then dark energy in 1999 from type
1a
> supernovae "standard candles". As Above So Below.
>
>
Advanced super technology Dyson-Thorne metric engineering
> civilizations
know how to "bottle" dark energy/matter on a small scale
> contrary to
Michael Turner's remark in April 2003 "Physics Today".
>
> On
Saturday, August 23, 2003, at 06:05 AM, ISEP wrote:
>
>> More
corrections
>>
>> On Friday, August 22, 2003, at 03:22 PM,
Jack Sarfatti wrote:
>>
>>>
Corrections
>>>
>>> On Friday, August 22, 2003, at 01:55
PM, Jack Sarfatti wrote:
>>>
>>>>
>>>>
As a toy model take a generic static spherically symmetric metric
>>>> without a black hole horizon since UFOs are obviously not
black
>>>> holes.
>>
>> The static spherical
symmetry assumptions are also no good except as
>> a very crude first
approximation. Alcubierre's free float geodesic
>> warp drive metric
is neither static nor spherically symmetric. The
>> warp drive is
roughly similar to a self-accelerating (from the
>> external
observer's POV) "dipole" with dark energy and dark matter
>> exotic
vacuum boundary layers analogous to positive and negative
>> charge in
the electric case. Of course, unlike exotic vacua dipoles,
>> electric
dipoles do not self-accelerate. The dark energy is what
>> Bondi,
Terletski and Forward called "negative matter" (Journal of
>>
Propulsion, Vol 6, No 1 pp 28 - 37 Feb 1990, Robert
Forward)
>>>>
>>>> The differential element of
curved spacetime is then of the generic
>>>>
form
>>>>
>>>> ds^2 = - e^2phi(r)(cdt)^2 + [1 -
b(r)/r]^-1dr^2 + r^2d(spherical
>>>> polar angle line
element)
>>>>
>>>> phi(r) is the "red shift
function", b(r) is the "shape function" of
>>>> the UFO, r is
the usual Schwarzschild curvature coordinate not the
>>>>
isotropic radial coordinate.
>>>>
>>>> Suppose we
have an exotic vacuum /\zpf boundary layer of thickness
>>>> d
with zero point energy density field (c^4/8piG)/\zpf with /\zpf
>>>> a constant in the thin boundary
layer.
>>>>
>>>
>>> I did that too fast.
This choice is wrong. The square root is wrong.
>>>
>>>
Basically c^2/\zpf acts like Grho in Newtonian gravity and in
GR.
>>>
>>> So we need to solve the problem of a slab of
area A thickness d.
>>>
>>> The effective G is very
strong of course.
>>>
>>> Hence phi ~ (/\zpfAd/r)f(d/r,
angles)
>>>
>>> where d ~ 10^-4 cm is my guess and f is
essentially a multipole
>>> expansion.
>>
>> The
angular dependence destroys the spherical symmetry of
course.
>>
>> For a signal originating inside the exotic
vacuum boundary layer, the
>> effective r is the spatial coherence
length L of the signal.
>>>>
>>>> Assume a flat
metric outside the exotic vacuum boundary layer
>>
>> For r
>> d this happens automatically and smoothly because of the
>>
exponential dependence of the redshift function on
d/r
>>>>
>>>> Therefore, the shift in proper time
dtau (period of oscillation of
>>>> the signal wave) comparing
signals from the exotic vacuum region
>>>> /\zpf =/= 0 to the
normal vacuum region /\zpf = 0 where your tape
>>>> recorder is
located is (within the crude spherical symmetry
>>>>
approximation)
>>>>
>>>> dtau (exotic
vacuum)/dtau(normal vacuum) = e^2 (/\zpfAd/L)
>>
>> where d/r
<< 1 in the normal vacuum where the detector is located to
>>
receive the signal from the exotic vacuum boundary layer at the
UFO.
>>>>
>>>> For a geometrodynamic universal red
shift of all wave signals of
>>>> any physical propagating
energy field from metrically engineered
>>>> space-time
warping
>>>>
>>>> dtau (exotic vacuum)/dtau(normal
vacuum) < 1 corresponding to the
>>>> "dark matter" /\zpf
< 0 at the bow of the UFO
>>>>
>>>> On the
other hand, at the stern of the UFO where we have "dark
>>>>
energy" /\zpf > 0 we get a universal blue
shift.
>>>>
>>>> Remember, the dark energy
universally repels, the dark matter
>>>> universally attracts.
Put the two together in the right way and you
>>>> get a net
unidirectional timelike geodesic motion. Objects in the
>>>> UFO
are in weightless free float, though to the outside observer
>>>> the object appears to accelerate and to traverse distances
with
>>>> effectively superluminal average speed. The former was
shown by
>>>> Bondi and Terletskii, apparently independently,
some 40 years ago.
>>>> The latter was shown by Alcubierre about
10 years ago.
>>
>> Alcubierre's warp drive metric (Class
Quantum Gravity 11 (1994)
>>
>> is, for vacuum propeller
self-motion along the x axis where the UFO
>> position is
xs(t)
>>
>> ds^2 = - (A^2 - BiB^i)(cdt)^2 + 2Bidx^idt +
gijdx^idx^j
>>
>> i,j = x,y,z
>>
>> Note the
non-static cross term 2Bidx^idt
>>
>> A = 1 is the free float
timelike geodesic condition for the lapse
>>
function
>>
>> Bx = -vs(t)f(rs(t))
>>
>> By
= Bz = 0
>>
>> vs(t) = dxs/dt
>>
>> rs(t) =
[(x - xs(t))^2 + y^2 + z^2]^1/2
>>
>> f(rs(t)) = [tanhZ(rs +
d) - tanhZ(rs - d)]/2tanh(Zd)
>>
>> d, Z arbitrary parameters,
but d is essentially the thickness of the
>> exotic vacuum boundary
layer
>>
>> The metric then becomes
>>
>>
ds^2 = - (cdt)^2 + (dx - vxf(rs)dt)^2 + dy^2 + dz^2
>>
>> That
must be made compatible as a solution of the exotic vacuum field
>>
equation
>>
>> Guv + /\zpfguv = 0
>>
>> The
basic "dipole" distribution of exotic vacuum field /\zpf is shown
>>
in a computer drawing of trace of extrinsic spatial curvature in
>>
Alcubierre's original paper
>>
>> where essentially /\zpf ~
trace of the extrinsic spatial curvature
>>
>> to be
continued
>>
Subj: Flying Saucer Physics Date: 8/24/2003 2:09:34 PM Eastern Daylight Time From: isep@earthlink.net To: isep@earthlink.net